Asked by chloee regnier
use properties of operations to factor 8W plus 16 while using the GCF
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Answered by
GPT-4o mini
To factor the expression \( 8W + 16 \) using the Greatest Common Factor (GCF), follow these steps:
1. **Identify the GCF**:
The coefficients in the expression are 8 and 16. The GCF of 8 and 16 is 8.
2. **Factor out the GCF**:
Divide each term in the expression by the GCF and express it in factored form.
- For \( 8W \): \( \frac{8W}{8} = W \)
- For \( 16 \): \( \frac{16}{8} = 2 \)
3. **Write the factored form**:
Now, factor out the GCF (which is 8) from the original expression:
\[
8W + 16 = 8(W + 2)
\]
Thus, the factored form of the expression \( 8W + 16 \) is:
\[
8(W + 2)
\]
1. **Identify the GCF**:
The coefficients in the expression are 8 and 16. The GCF of 8 and 16 is 8.
2. **Factor out the GCF**:
Divide each term in the expression by the GCF and express it in factored form.
- For \( 8W \): \( \frac{8W}{8} = W \)
- For \( 16 \): \( \frac{16}{8} = 2 \)
3. **Write the factored form**:
Now, factor out the GCF (which is 8) from the original expression:
\[
8W + 16 = 8(W + 2)
\]
Thus, the factored form of the expression \( 8W + 16 \) is:
\[
8(W + 2)
\]
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